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Finding the Fourth Proportional to 772.80, 1,067.04 and 540.24

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Solution

The fourth proportional to 772.80, 1,067.04 and 540.24 is: 745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.80 : 1,067.04 = 540.24 : x
  2. Step 2: Convert to fraction form
    772.80/1,067.04 = 540.24/x
  3. Step 3: Cross multiply
    772.80x = 1,067.04 × 540.24
  4. Step 4: Simplify right side
    772.80x = 576,457.69
  5. Step 5: Solve for x
    x = 576,457.69/772.80
  6. Step 6: Final answer
    x = 745.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.